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Weyl-Heisenberg frame in $p$ -adic analysis

Minggen Cui; Xueqin Lv — 2005

Annales mathématiques Blaise Pascal

In this paper, we establish an one-to-one mapping between complex-valued functions defined on $R^{+} \cup {0}$ and complex-valued functions defined on $p$ -adic number field $Q_{p}$ , and introduce the definition and method of Weyl-Heisenberg frame on hormonic analysis to $p$ -adic anylysis.

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Weyl-Heisenberg frame in p -adic analysis

Weyl-Heisenberg frame in $p$ -adic analysis